Search a number
-
+
1100440 = 235114161
BaseRepresentation
bin100001100101010011000
32001220112001
410030222120
5240203230
635330344
712232165
oct4145230
92056461
101100440
11691860
124509b4
132c6b63
1420906c
1516b0ca
hex10ca98

1100440 has 64 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 384000.

The previous prime is 1100419. The next prime is 1100441. The reversal of 1100440 is 440011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18010 + ... + 18070.

21100440 is an apocalyptic number.

1100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1100440 is an abundant number, since it is smaller than the sum of its proper divisors (1711880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100440 is a wasteful number, since it uses less digits than its factorization.

1100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1100440 is about 1049.0185889678. The cubic root of 1100440 is about 103.2417734458.

Adding to 1100440 its reverse (440011), we get a palindrome (1540451).

It can be divided in two parts, 1100 and 440, that added together give a triangular number (1540 = T55).

The spelling of 1100440 in words is "one million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 61 82 88 110 122 164 205 220 244 305 328 410 440 451 488 610 671 820 902 1220 1342 1640 1804 2255 2440 2501 2684 3355 3608 4510 5002 5368 6710 9020 10004 12505 13420 18040 20008 25010 26840 27511 50020 55022 100040 110044 137555 220088 275110 550220 1100440